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Finding the Third Proportional to 37,042 and 52,932

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Solution

The third proportional to 37,042 and 52,932 is: 75,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042 : 52,932 = 52,932 : x
  2. Step 2: Convert to fraction form
    37,042/52,932 = 52,932/x
  3. Step 3: Cross multiply
    37,042x = 52,932 × 52,932
  4. Step 4: Simplify right side
    37,042x = 2,801,796,624
  5. Step 5: Solve for x
    x = 2,801,796,624/37,042
  6. Step 6: Final answer
    x = 75,638.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.